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January 1996 A zero-one law approach to the central limit theorem for the weighted bootstrap mean
Eusebio Arenal-Gutiérrez, Carlos Matrán
Ann. Probab. 24(1): 532-540 (January 1996). DOI: 10.1214/aop/1042644731

Abstract

We develop a new technique to prove the conditional CLT for the weighted bootstrap mean. Through 0-1 laws, we show that this conditional CLT can be derived from an unconditional one which easily arises (conditioning with respect to the weights) from the standard Lindeberg CLT.

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Eusebio Arenal-Gutiérrez. Carlos Matrán. "A zero-one law approach to the central limit theorem for the weighted bootstrap mean." Ann. Probab. 24 (1) 532 - 540, January 1996. https://doi.org/10.1214/aop/1042644731

Information

Published: January 1996
First available in Project Euclid: 15 January 2003

zbMATH: 0855.62008
MathSciNet: MR1387650
Digital Object Identifier: 10.1214/aop/1042644731

Rights: Copyright © 1996 Institute of Mathematical Statistics

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Vol.24 • No. 1 • January 1996
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